Q. 2 A4.3( 19 Votes )

Find a quadratic

Answer :

Let the two zeroes be a and b.

The generalized form of the quadratic equation with sum and product of zeroes a and b is as follows:


ax2 + bx + c = 0 ………………… (i)


Now in this case


a + b = -b/a = -3


ab = c / a = 2


If a = k where k is any real number


b = 3k ………………… (ii)


c = 2k ………………… (iii)


Put values from (ii) and (iii) in (i)


kx2 + 3kx + 2k = 0


k (x2 + 3x + 2) = 0


Therefore the quadratic equation is as follows:


x2 + 3x + 2 = 0


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :

If u(x) = (x – 1)Rajasthan Board Mathematics

Find the lowest cRajasthan Board Mathematics

Solve the followiRajasthan Board Mathematics

Solve the followiRajasthan Board Mathematics

The area of a recRajasthan Board Mathematics

The LCM and HCF oRajasthan Board Mathematics

If α and β are thRajasthan Board Mathematics

Find the zeroes oRajasthan Board Mathematics

Write ShridharachRajasthan Board Mathematics

Solve the followiRajasthan Board Mathematics